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27998926488 = 233213283105701
BaseRepresentation
bin11010000100110111…
…011011011010011000
32200021021220211120100
4122010313123122120
5424320211121423
620510150055400
72010560643201
oct320467333230
980237824510
1027998926488
1110968733975
12551494a560
132842933230
1414d87905a8
15add103343
hex684ddb698

27998926488 has 96 divisors (see below), whose sum is σ = 81952874640. Its totient is φ = 8584531200.

The previous prime is 27998926481. The next prime is 27998926499. The reversal of 27998926488 is 88462989972.

27998926488 is a `hidden beast` number, since 279 + 98 + 9 + 264 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27998926481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212038 + ... + 317738.

Almost surely, 227998926488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27998926488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40976437320).

27998926488 is an abundant number, since it is smaller than the sum of its proper divisors (53953948152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27998926488 is a wasteful number, since it uses less digits than its factorization.

27998926488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106009 (or 106002 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 27998926488 in words is "twenty-seven billion, nine hundred ninety-eight million, nine hundred twenty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 283 312 468 566 849 936 1132 1698 2264 2547 3396 3679 5094 6792 7358 10188 11037 14716 20376 22074 29432 33111 44148 66222 88296 105701 132444 211402 264888 317103 422804 634206 845608 951309 1268412 1374113 1902618 2536824 2748226 3805236 4122339 5496452 7610472 8244678 10992904 12367017 16489356 24734034 29913383 32978712 49468068 59826766 89740149 98936136 119653532 179480298 239307064 269220447 358960596 388873979 538440894 717921192 777747958 1076881788 1166621937 1555495916 2153763576 2333243874 3110991832 3499865811 4666487748 6999731622 9332975496 13999463244 27998926488